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Finding the Fourth Proportional to 9,664.80, 14,497.20 and 5,290.80

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Solution

The fourth proportional to 9,664.80, 14,497.20 and 5,290.80 is: 7,936.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.80 : 14,497.20 = 5,290.80 : x
  2. Step 2: Convert to fraction form
    9,664.80/14,497.20 = 5,290.80/x
  3. Step 3: Cross multiply
    9,664.80x = 14,497.20 × 5,290.80
  4. Step 4: Simplify right side
    9,664.80x = 76,701,785.76
  5. Step 5: Solve for x
    x = 76,701,785.76/9,664.80
  6. Step 6: Final answer
    x = 7,936.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.